Adaptive Super-Twisting Cooperative Guidance Law with Fixed-Time Convergence

Abstract

For the guidance problem of multiple missiles cooperatively intercepting a maneuvering target, fixed-time cooperative guidance law is proposed with impact angle constraints. First, fixed-time consensus, integral sliding mode technique, and adaptive super-twisting algorithm are implemented to construct cooperative guidance law along the line-of-sight (LOS) direction. Second, based on fixed-time convergence observer and terminal sliding mode control, one fixed-time guidance law along the normal direction of LOS is designed to ensure that the missiles attack the target with expected angles. Finally, simulation results are carried out to demonstrate the effectiveness of the proposed fixed-time cooperative guidance law.

Adaptive Distributed Fixed-Time Cooperative Three-Dimensional Guidance Law for Multimissiles against Manoeuvring Target

“…Fixed-time guidance laws [14,[19][20][21][22][23][24][25][26], which are evolved from finite-time algorithms [15-18, 27, 28], do not depend on the initial states and have better convergent characteristics, so these schemes have further been studied. With time-delay input [20], adaptive cooperative guidance law is proposed to guarantee that the consensus errors converge to the equilibrium point in fixed-time interval.…”

“…Under constraints of topology switching failure, input amplitude, impact time, and angle [23], fast fixed-time NTSM is developed to design adaptive cooperative guidance laws along and perpendicular to LOS directions. Adaptive supertwisting consensus is developed to ensure that time-to-go variables are steered to the equilibrium point [24], while the expected angle constraint is achieved by NTSM and disturbance observer. One method similar to literature [29] is implemented to construct two-order cooperative control law, and then, guidance laws are developed to guarantee fixed-time stabilization of LOS angles in the elevation and azimuth [25].…”